Thank you Claes for your review and the detailed analysis!


On 5/17/18 4:07 AM, Claes Redestad wrote:
Shouldn't this be called "Faster rounding up to nearest power of two"?

Yes, it's more accurate.

Patch looks OK to me, but I'd like to see numbers with the numberOfLeadingZeros intrinsic disabled so that we ensure we're not incurring an unreasonable penalty on platforms who don't
have an intrinsic for this.

Running your benchmark with the intrinsic disabled[1] on my machine I see a 25-30% penalty with testNew relative to testOld, which is perhaps a bit toomuch for comfort..

So I took a look at profiles for numberOfLeadingZeros with the intrinsic disabled and realized
it might be possible to improve:

diff -r de35abdfe5da src/java.base/share/classes/java/lang/Integer.java
--- a/src/java.base/share/classes/java/lang/Integer.java Mon May 14 16:21:08 2018 +0200 +++ b/src/java.base/share/classes/java/lang/Integer.java Thu May 17 12:44:53 2018 +0200
@@ -1621,12 +1621,12 @@
         // HD, Figure 5-6
         if (i <= 0)
             return i == 0 ? 32 : 0;
-        int n = 1;
-        if (i >>> 16 == 0) { n += 16; i <<= 16; }
-        if (i >>> 24 == 0) { n +=  8; i <<=  8; }
-        if (i >>> 28 == 0) { n +=  4; i <<=  4; }
-        if (i >>> 30 == 0) { n +=  2; i <<=  2; }
-        n -= i >>> 31;
+        int n = 0;
+        if (          i < 1 << 16) { n += 16; i <<= 16; }
+        if (i >= 0 && i < 1 << 24) { n +=  8; i <<=  8; }
+        if (i >= 0 && i < 1 << 28) { n +=  4; i <<=  4; }
+        if (i >= 0 && i < 1 << 30) { n +=  2; i <<=  2; }
+        if (i >= 0) n++;
         return n;
     }

Adding a case that uses this version to your benchmark[2] and the new version is only about 10% slower than the baseline, with the added benefit that other uses of numberOfLeadingZeros might see a speed-upif there's no intrinsic (runs with intrinsic disabled[1]):

Interesting.
It can probably be done with fewer comparisons, if the direction of all the shifts is inverted:

The following variant showed slightly better performance on my machine:

    static final int numberOfLeadingZeros(int i) {
        if (i <= 0)
            return i == 0 ? 32 : 0;
        int n = 31;
        if (i >= 1 << 16) { n -= 16; i >>>= 16; }
        if (i >= 1 <<  8) { n -=  8; i >>>=  8; }
        if (i >= 1 <<  4) { n -=  4; i >>>=  4; }
        if (i >= 1 <<  2) { n -=  2; i >>>=  2; }
        return n - (i >>> 1);
    }

I agree that improving Java implementation of numberOfLeadingZeros() can be done as a separate RFE.

With kind regards,
Ivan


Benchmark          (arg)  Mode  Cnt   Score   Error Units
TableFor.testNew       1  avgt    6  28.343 ± 0.534  ns/op
TableFor.testNew      42  avgt    6  26.458 ± 0.064  ns/op
TableFor.testNew2      1  avgt    6  23.969 ± 0.201  ns/op
TableFor.testNew2     42  avgt    6  23.934 ± 0.107  ns/op
TableFor.testOld       1  avgt    6  21.615 ± 0.803  ns/op
TableFor.testOld      42  avgt    6  21.418 ± 0.106  ns/op

So I think with the above patch to Integer.numberOfLeadingZeros we can get the benefit for our supported platforms while staying roughly performance neutral on platforms without
an intrinsic. Not strictly necessary to fold it into this RFE, of course.

Thanks!

/Claes

[1] -XX:+UnlockDiagnosticVMOptions -XX:DisableIntrinsic=_numberOfLeadingZeros_i
[2] http://cr.openjdk.java.net/~redestad/scratch/TableFor.java

On 2018-05-17 05:48, David Holmes wrote:
Do you think it's good to go?

I think I'd rather defer to a more performance oriented reviewer - paging Claes! ;-)

David
-----


--
With kind regards,
Ivan Gerasimov

Reply via email to